Calc Conductivity of an intrinsic semiconductor

In summary, to calculate the conductivity of an intrinsic semiconductor at room temperature, you need to take into account the carrier density, electron and hole mobility, and charge per electron/hole. The total conductivity is determined by summing the product of each species' number density, mobility, and charge. For a semiconductor with both electrons and holes as carriers, the total conductivity is given by σ = neμe |qe| + nhμh |qh|.
  • #1
nanostar
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Calculate the conductivity of an intrinsic semiconductor at room temperature and from the following data:

(n)Carrier density(where electron=holes)=2.9*10^19 carrier/m^3
Electron mobility = 0.45 m^2/V s
Hole Mobility = 0.23 m^2/V s
(q)Charge per electron/hole = 1.6*10^-19 coulomb/carrier

I know that conductivity = nqu

but how do I include the e and h mobility too?
 
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  • #2
What is the conductivity if there are two kinds of charge carriers?

ehild
 
  • #3
ehild said:
What is the conductivity if there are two kinds of charge carriers?

ehild

?
 
  • #4
From Wikipedia:

When there is more than one species (e.g., a plasma with electrons and ions, or a semiconductor with electrons and holes), the total conductivity is
σ = ∑ niμi | qi |
i

where the ith species has number density ni, charge qi, and mobility μi.

ehild
 
  • #5
σ = neqeμe+nhqhμh

Where the subscripts are electron and hole respectively.

You have to account for the fact that the carriers are of opposite charge and travel in opposite directions (I think). If in doubt, you can always ask on Thursday...
 

1. What is an intrinsic semiconductor?

An intrinsic semiconductor is a type of material that has a balanced number of positive and negative charge carriers, also known as electrons and holes. This means that it does not have any impurities or dopants added to it, and its electrical properties are determined solely by its own structure.

2. How is the conductivity of an intrinsic semiconductor calculated?

The conductivity of an intrinsic semiconductor is calculated using the formula σ = neµe + peµh, where σ is the conductivity, n and p are the concentrations of electrons and holes, and µe and µh are the electron and hole mobilities, respectively. This formula takes into account both the number of charge carriers and their ability to move through the material.

3. What factors affect the conductivity of an intrinsic semiconductor?

The conductivity of an intrinsic semiconductor is affected by factors such as temperature, doping, and the material's band gap. Generally, higher temperatures and higher doping levels lead to an increase in conductivity, while a larger band gap results in lower conductivity.

4. How does the conductivity of an intrinsic semiconductor differ from that of an extrinsic semiconductor?

An intrinsic semiconductor has a lower conductivity compared to an extrinsic semiconductor, which has impurities intentionally added to increase its conductivity. Additionally, the conductivity of an intrinsic semiconductor is highly dependent on temperature, while the conductivity of an extrinsic semiconductor can be controlled by adjusting the level of dopants.

5. What are some applications of intrinsic semiconductors?

Intrinsic semiconductors are used in a variety of electronic devices, including diodes, transistors, and solar cells. They are also important in research and development for their unique properties and potential for use in future technologies such as quantum computing and optoelectronics.

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